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Finding the Fourth Proportional to 277,465.60, 382,901.76 and 150,143.36

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Solution

The fourth proportional to 277,465.60, 382,901.76 and 150,143.36 is: 207,197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,465.60 : 382,901.76 = 150,143.36 : x
  2. Step 2: Convert to fraction form
    277,465.60/382,901.76 = 150,143.36/x
  3. Step 3: Cross multiply
    277,465.60x = 382,901.76 × 150,143.36
  4. Step 4: Simplify right side
    277,465.60x = 57,490,156,796.31
  5. Step 5: Solve for x
    x = 57,490,156,796.31/277,465.60
  6. Step 6: Final answer
    x = 207,197.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.